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Finding the Third Proportional to 541,856 and 843,804

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Solution

The third proportional to 541,856 and 843,804 is: 1,314,011.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,856 : 843,804 = 843,804 : x
  2. Step 2: Convert to fraction form
    541,856/843,804 = 843,804/x
  3. Step 3: Cross multiply
    541,856x = 843,804 × 843,804
  4. Step 4: Simplify right side
    541,856x = 712,005,190,416
  5. Step 5: Solve for x
    x = 712,005,190,416/541,856
  6. Step 6: Final answer
    x = 1,314,011.82

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.